No, at this point it would be 6,026 years. According to James Ussher, the world came into existence on Sunday, October 23, 4004 BC—and somewhere around 6:00 pm, according to his Annals of the World (1658): "I deduce that the time from the creation until midnight, January 1, AD 1, was 4,003 years, 70 days, and six hours." So, on October 23, 2023, the world should turn 6,027 years old.
Also, for whatever it's worth, according to Ussher, Adam and Eve were in the garden for just over a week, for he believed they were exiled "on the tenth day of the world" or Monday, November 1, 4004 BC.